All categories

3 years ago

What is the value of the discriminant for the quadratic equation 2x2− x + 8 = 0?

Mathematics

1 answer:

Alja [10]3 years ago

7 0

2x² - x + 8 = 0
Discriminant = b² - 4ac
a=2, b=-1, c=8

D = (-1)² - 4 * 2 * 8 = 1 - 64 = -63

You might be interested in

Solve the system of equations by y= 5x + 8 y = 8x + 9

rodikova [14]

You should’ve put a picture to make it easier for us

6 0

3 years ago

Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that

Nostrana [21]

Answer:

$y=28.5x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem

Let

x------> the number of gallons

y------> the number of miles

the relationship between the number of miles and the gallons of gas represent a linear direct variation

The constant of proportionality k is equal to the slope m

$m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}$

therefore

the equation of the linear equation

$y=28.5x$

5 0

3 years ago

Read 2 more answers

Factor x^2 + 4x - 21

babymother [125]

Answer:

(x - 3)(x + 7)

Step-by-step explanation:

x^2 + 4x - 21

=> x^2 + 7x - 3x - 21

=> x(x + 7) -3(x + 7)

=> (x + 7)(x - 3)

5 0

3 years ago

Read 2 more answers

1. The lease common multiple of 3, 4, 6, and 8 is OA. 8. OB. 24. O C.72. OD.96.

almond37 [142]

The answer is ob.24

3 0

3 years ago

Read 2 more answers

Refer to the various selling prices of various homes in a community that follow the normal distribution with mu (population mean

blsea [12.9K]

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

8 0

2 years ago